1. Inequalities work the same way as equations. The difference is the number of solutions.

2. Here are the symbols of inequalities: < means less than > means greater than < means less than OR equal to > means greater than OR equal to

3. Here are the symbols of inequalities: < means less than > means greater than < means less than OR equal to > means greater than OR equal to x < 4 is read x is less than 4

4. Here are the symbols of inequalities: < means less than > means greater than < means less than OR equal to > means greater than OR equal to x > 4 is read x is greater than 4

5. Here are the symbols of inequalities: < means less than > means greater than < means less than OR equal to > means greater than OR equal to x < 4 is read x is less than OR equal to 4

6. Here are the symbols of inequalities: < means less than > means greater than < means less than OR equal to > means greater than OR equal to x > 4 is read x is greater than OR equal to 4

7. 1.Do you need to use the distributive property? 2(y + 9) + y < 12

8. 1.Do you need to use the distributive property? 2y + 18 + y < 12

9. 1.Do you need to use the distributive property? 2.Are there like terms to combine? 2y + 18 + y < 12

10. 1.Do you need to use the distributive property? 2.Are there like terms to combine? Remember to use the commutative property. 2y + 18 + y < 12

11. 1.Do you need to use the distributive property? 2.Are there like terms to combine? Remember to use the commutative property. 2y + y + 18 < 12

12. 1.Do you need to use the distributive property? 2.Are there like terms to combine? Remember to use the associative property, too. (2y + y) + 18 < 12

13. 1.Do you need to use the distributive property? 2.Are there like terms to combine? 3y + 18 < 12

14. 1.Do you need to use the distributive property? 2.Are there like terms to combine? 3.Solve terms first. 3y + 18 < 12

15. 1.Do you need to use the distributive property? 2.Are there like terms to combine? 3.Solve terms first. 3y + (18 + – 18) < (12 + – 18)

16. 1.Do you need to use the distributive property? 2.Are there like terms to combine? 3.Solve terms first. 3y < – 6

17. 1.Do you need to use the distributive property? 2.Are there like terms to combine? 3.Solve terms first. 4.Solve factors second. 3y < – 6

18. 1.Do you need to use the distributive property? 2.Are there like terms to combine? 3.Solve terms first. 4.Solve factors second. (  )3y < – 6(  )

19. 1.Do you need to use the distributive property? 2.Are there like terms to combine? 3.Solve terms first. 4.Solve factors second. y < – 2

20. 1.Do you need to use the distributive property? 2.Are there like terms to combine? 3.Solve terms first. 4.Solve factors second. y < – 2 5. Number Set { – 3, – 4, – 5, …}

21. When graphing inequalities, the way it is graphed describes the situation. - (a dot) means equal to - (a circle) means not equal to Arrow - means greater than or less than. – 6 – 5 – 4 – 3 – 2 – 1 0 1 2 For Example: y < 1 says y is less than 1.

22. When graphing inequalities, the way it is graphed describes the situation. - (a dot) means equal to - (a circle) means not equal to Arrow - means greater than or less than. – 6 – 5 – 4 – 3 – 2 – 1 0 1 2 For Example: y > – 3 says y is greater than – 3.

23. When graphing inequalities, the way it is graphed describes the situation. - (a dot) means equal to - (a circle) means not equal to Arrow - means greater than or less than. – 6 – 5 – 4 – 3 – 2 – 1 0 1 2 For Example: y > – 6 says y is greater than OR equal to – 6.

24. When graphing inequalities, the way it is graphed describes the situation. - (a dot) means equal to - (a circle) means not equal to Arrow - means greater than or less than. – 6 – 5 – 4 – 3 – 2 – 1 0 1 2 For Example: y < – 1 says y is less than OR equal to – 1.

25. y < – 2 5. Number Set { – 3, – 4, – 5, …} The only difference between solving equations and inequalities is the number of solutions. – 6 – 5 – 4 – 3 – 2 – 1 0 1 2